Question

1. y=2x+3 x+y=6

Explanation:

Step1: Substitute \( y = 2x + 3 \) into \( x + y = 6 \)

Substitute the expression for \( y \) from the first equation into the second equation. So we get \( x + (2x + 3) = 6 \).

Step2: Simplify and solve for \( x \)

Simplify the left - hand side: \( x+2x + 3=6\), which combines to \( 3x+3 = 6 \). Subtract 3 from both sides: \( 3x=6 - 3=3 \). Then divide both sides by 3: \( x = 1 \).

Step3: Substitute \( x = 1 \) into \( y = 2x+3 \)

Substitute \( x = 1 \) into the equation \( y = 2x + 3 \). We have \( y=2\times1 + 3=5 \).

Answer:

The solution of the system of equations is \( x = 1 \) and \( y = 5 \)